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            <small>
              <a href="#Procedure">Procedure<br></a>
              <a href="#Abstract">Abstract<br></a>
              <a href="#Required_Reading">Required_Reading<br></a>
              <a href="#Keywords">Keywords<br></a>
              <a href="#Brief_I/O">Brief_I/O<br></a>
              <a href="#Detailed_Input">Detailed_Input<br></a>

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              <small>               <a href="#Detailed_Output">Detailed_Output<br></a>
              <a href="#Parameters">Parameters<br></a>
              <a href="#Exceptions">Exceptions<br></a>
              <a href="#Files">Files<br></a>
              <a href="#Particulars">Particulars<br></a>
              <a href="#Examples">Examples<br></a>

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              <small>               <a href="#Restrictions">Restrictions<br></a>
              <a href="#Literature_References">Literature_References<br></a>
              <a href="#Author_and_Institution">Author_and_Institution<br></a>
              <a href="#Version">Version<br></a>
              <a href="#Index_Entries">Index_Entries<br></a>
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<h4><a name="Procedure">Procedure</a></h4>
<PRE>
   SpiceDouble vtmv_c ( ConstSpiceDouble v1     [3],
                        ConstSpiceDouble matrix [3][3],
                        ConstSpiceDouble v2     [3] ) 

</PRE>
<h4><a name="Abstract">Abstract</a></h4>
<PRE>
 
    Multiply the transpose of a 3-dimensional column vector, 
    a 3x3 matrix, and a 3-dimensional column vector. 
 </PRE>
<h4><a name="Required_Reading">Required_Reading</a></h4>
<PRE>
 
    None. 
 </PRE>
<h4><a name="Keywords">Keywords</a></h4>
<PRE>
 
    MATRIX,  VECTOR 
 

</PRE>
<h4><a name="Brief_I/O">Brief_I/O</a></h4>
<PRE>
 
    VARIABLE  I/O  DESCRIPTION 
    --------  ---  -------------------------------------------------- 
     v1        I     3 dimensional double precision column vector. 
     matrix    I     3x3 double precision matrix. 
     v2        I     3 dimensional double precision column vector. 
 
     The function returns the result of (v1**t * matrix * v2 ). 
 </PRE>
<h4><a name="Detailed_Input">Detailed_Input</a></h4>
<PRE>
 
    v1         This may be any 3-dimensional, double precision 
               column vector. 
 
    matrix     This may be any 3x3, double precision matrix. 
 
    v2         This may be any 3-dimensional, double precision 
               column vector. 
 </PRE>
<h4><a name="Detailed_Output">Detailed_Output</a></h4>
<PRE>
 
    the function returns the double precision value of the equation 
    (v1**t * matrix * v2 ). 
 
    Notice that <b>vtmv_c</b> is actually the dot product of the vector 
    resulting from multiplying the transpose of v1 and matrix and the 
    vector v2. 
 </PRE>
<h4><a name="Parameters">Parameters</a></h4>
<PRE>
 
    None. 
 </PRE>
<h4><a name="Exceptions">Exceptions</a></h4>
<PRE>
 
   Error free. 
 </PRE>
<h4><a name="Files">Files</a></h4>
<PRE>
 
    None. 
 </PRE>
<h4><a name="Particulars">Particulars</a></h4>
<PRE>
 
    This routine implements the following vector/matrix/vector 
    multiplication: 
 
                          T 
       <b>vtmv_c</b> = |   v1   | |          |  |  | 
                           |  matrix  |  |v2| 
                           |          |  |  | 
 
    v1 is a column vector which becomes a row vector when transposed. 
    v2 is a column vector. 
 
    No checking is performed to determine whether floating point 
    overflow has occurred. 
 </PRE>
<h4><a name="Examples">Examples</a></h4>
<PRE>
 
    if  v1 = | 2.0 |   matrix = |  0.0  1.0  0.0 | 
             |     |            |                | 
             | 4.0 |            | -1.0  0.0  0.0 | 
             |     |            |                | 
             | 6.0 |            |  0.0  0.0  1.0 | 
 
        v2 = | 1.0 | 
             |     | 
             | 1.0 | 
             |     | 
             | 1.0 | 
 
    then function value is equal to 4.0. 
 </PRE>
<h4><a name="Restrictions">Restrictions</a></h4>
<PRE>
 
    None. 
 </PRE>
<h4><a name="Literature_References">Literature_References</a></h4>
<PRE>
 
    None. 
 </PRE>
<h4><a name="Author_and_Institution">Author_and_Institution</a></h4>
<PRE>
 
    W.M. Owen       (JPL) 
    E.D. Wright     (JPL)
 </PRE>
<h4><a name="Version">Version</a></h4>
<PRE>
 
   -CSPICE Version 1.0.0, 1-JUL-1999
</PRE>
<h4><a name="Index_Entries">Index_Entries</a></h4>
<PRE>
 
   3-dimensional vector_transpose times matrix times vector 
 </PRE>
<h4>Link to routine vtmv_c source file <a href='../../../src/cspice/vtmv_c.c'>vtmv_c.c</a> </h4>

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   <pre>Wed Jun  9 13:05:33 2010</pre>

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